Dynamics of quantum systems embedded in a continuum

Okołowicz, J.; Płoszajczak, M.; Rotter, I.

doi:10.1016/s0370-1573(02)00366-6

Cited by 350 publications

(612 citation statements)

References 250 publications

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“…Other models start from a molecular viewpoint that employs composite particles, such as the α-particles as the building blocks for nuclear structure. A major task is underway to connect the two seemingly disjoint points of view and how nuclear excitations can emerge from a unified picture of the nucleus [257][258][259][260][261][262][263][264][265][266][267][268][269][270][271][272].…”

Section: B New Magic Numbers Clusters Majorana Particlesmentioning

confidence: 99%

Current Status of Nuclear Physics Research

Bertulani

Hussein

2015

Braz J Phys

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In this review we discuss the current status of research in nuclear physics which is being carried out in different centers in the World. For this purpose we supply a short account of the development in the area which evolved over the last 9 decades, since the discovery of the neutron. The evolution of the physics of the atomic nucleus went through many stages as more data become available. We briefly discuss models introduced to discern the physics behind the experimental discoveries, such as the shell model, the collective model, the statistical model, the interacting boson model, etc., some of these models may be seemingly in conflict with each other, but this was shown to be only apparent.The richness of the ideas and abundance of theoretical models attests to the important fact that the nucleus is a really singular system in the sense that it evolves from two-body bound states such as the deuteron, to few-body bound states, such as 4 He, 7 Li, 9 Be etc. and up the ladder to heavier bound nuclei containing up to more than 200 nucleons. Clearly statistical mechanics, usually employed in systems with very large number of particles, would seemingly not work for such finite systems as the nuclei, neither do other theories which are applicable to condensed matter. The richness of nuclear physics stems from these restrictions. New theories and models are presently being developed. Theories of the structure and reactions of neutron-rich and proton-rich nuclei, called exotic nuclei, halo nuclei, or Borromean nuclei, deal with the wealth of experimental data that became available in the last 35 years. Further, nuclear astrophysics and stellar and Big Bang nucleosynthesis have become a more mature subject. Due to limited space, this review only covers a few selected topics, mainly those with which the authors have worked on. Our aimed potential readers of this review are nuclear physicists and physicists in other areas, as well as graduate students interested in pursuing a career in nuclear physics.

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Section: B New Magic Numbers Clusters Majorana Particlesmentioning

confidence: 99%

Current Status of Nuclear Physics Research

Bertulani

Hussein

2015

Braz J Phys

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“…(2)] is complex symmetric. According to the complex variational principle [30,31], a complex analog to the usual variational principle for selfconjugated Hamiltonians, the Rayleigh quotient…”

Section: The Gamow Shell Modelmentioning

confidence: 99%

“…The warm-up procedure continues by adding to the system part the configurations containing particles in the second scattering shell (lj ) 2 . As in the first step, one constructs all many-body states {(lj ) n 2 } within this new shell and calculates corresponding matrix elements of suboperators [Eq.…”

Section: A Warm-up Phase Of Gsm+dmrgmentioning

confidence: 99%

“…(7)] and Hamiltonian [Eq. (2)] are distributed among the processors. Our calculations were carried out on the CRAY XT4 Jaguar supercomputer at the Oak Ridge National Laboratory.…”

Section: Treatment Of Spurious Widthmentioning

confidence: 99%

“…The theoretical description of weakly bound and unbound states in atomic nuclei requires a rigorous treatment of manybody correlations in the presence of a scattering continuum and decay channels [1][2][3]. Many-body states located close to the particle emission threshold display unusual properties such as, for example, halo and Borromean structures, clusterization phenomena, and cusps in various observables resulting from the strong coupling to the continuum space.…”

Section: Introductionmentioning

confidence: 99%

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Density matrix renormalization group approach to two-fluid open many-fermion systems

et al. 2009

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We have extended the density matrix renormalization group (DMRG) approach to two-fluid open manyfermion systems governed by complex-symmetric Hamiltonians. The applications are carried out for three-and four-nucleon (proton-neutron) systems within the Gamow shell model (GSM) in the complex-energy plane. We study necessary and sufficient conditions for the GSM+DMRG method to yield the correct ground-state eigenvalue and discuss different truncation schemes within the DMRG. The proposed approach will enable configuration interaction studies of weakly bound and unbound strongly interacting complex systems, which, because of a prohibitively large size of Fock space, cannot be treated by means of the direct diagonalization.

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Characterizing Two‐Qubit Non‐Classical Correlations and Non‐Locality in Mixed Local Dephasing Noisy Channels

et al. 2022

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The dephasing effects of two independent local mixed static‐Ornstein Uhlenbeck (STC‐OUK) noisy channels on the dynamics of two‐qubit non‐classical correlations, non‐locality, and entanglement are addressed. Here, i) local quantum Fisher information; ii) local quantum uncertainty; iii) uncertainty‐induced non‐locality; iv) Bell non‐locality; and v) negativity to quantify two‐qubit non‐classical correlations, non‐locality and entanglement, respectively, and their loss under the influence of mixed noise are used. The findings show that measure (i) compared to measure (ii) remains more effective in demonstrating non‐classical correlations. For the two‐qubit state with maximum purity, measure (iii) remains less fragile to the mixed STC‐OUK noise than measure (iv) but gets more vulnerable as the initial purity of the two‐qubit state falls. It is intriguing that measures (i), (ii), and (v) completely freeze after a particular interval, yet measures (iii) and (iv) remains partially preserved indefinitely. When compared to other two‐qubit correlation quantifiers, measure (v) exhibits non‐Markovian behavior and the phenomenon of sudden death and birth. Markovian and non‐Markovian dynamical maps, and extended two‐qubit correlations, can be induced by optimizing the current configuration. Finally, under the influence of mixed dephasing effects, robust and strengthened quantum correlations beyond entanglement in the two‐qubit Werner state is shown.

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Dynamics of quantum systems embedded in a continuum

Cited by 350 publications

References 250 publications

Current Status of Nuclear Physics Research

Current Status of Nuclear Physics Research

Density matrix renormalization group approach to two-fluid open many-fermion systems

Characterizing Two‐Qubit Non‐Classical Correlations and Non‐Locality in Mixed Local Dephasing Noisy Channels

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